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Problem 14.7 Given: The stress concentration factor for a hole in a beam is approximately 3.0 if the diameter of the hole is small compared to the depth of the beam. Two 10.0-mm diameter holes are drilled through the beam at equal distances from the neutral surface. Use the moment of inertia for the net section through the holes and S cc = 3.0. Find: the magnitude of the bending moment M for the case in which the limiting flexural stress is 120 MPa. a) for y'=50.0 mm to the outer edges of the holes b) for y'=75.0 mm Solution: The maximum stress is: σ 120 MPa ⋅ := S cc 3 := σ My ⋅ I x S cc ⋅ = a) I x 50 mm ⋅ 200 mm ⋅ () 3 ⋅ 12 2 50 mm ⋅ 10 mm ⋅ 3 ⋅ 12 50 mm ⋅ 10 ⋅ mm ⋅ 45 mm ⋅ 2 ⋅ + ⎡
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This note was uploaded on 01/11/2011 for the course MAE 3040 taught by Professor Mechanicsofsolids during the Spring '10 term at Utah State University.
- Spring '10